Теория струн и скрытые измерения Вселенной

Надис Стив

[39] Ibid.

[40] Mathematical Institute at the University of Oxford, “Chart the Realm of the 4th Dimension,” http://www2.maths.ox.ac.uk/~dusautoy/2soft/4D.htm.

[41] Grisha Perelman, “The Entropy Formula for the Ricci Flow and Its Geometric Applications,” November 11, 2002, http://arxiv.org/abs/math/0211159vl.

[42] Eugenio Calabi (University of Pennsylvania), interview with author, October 18, 2007.

[43] Robert Greene, interview with author, April 17, 2008.

[44] Robert Greene, interview with author, June 24, 2008.

[45] Eugenio Calabi, interview with author, October 18, 2007.

[46] Robert Greene (UCLA), interview with author, January 29, 2008.

[47] Eugenio Calabi (University of Pennsylvania), interview with author, May 14, 2008.

[48] Ibid.

[49] Erwin Lutwak (Polytechnic Institute of NYU), interview with author, May 15, 2008.

[50] Calabi, interview, May 14, 2008.

[51] Eugenio Calabi, interview with author, June 16, 2008.

[52] Ibid.

[53] Eugenio Calabi, interview with author, October 18, 2007.

[54] Cumrun Vafa (Harvard University), interview with author, January 19,2007.

[55] John Schwarz (California Institute of Technology), interview with author, August 13, 2008.

[56] Michael Green (University of Cambridge), e-mail letter to author, August 15, 2008.

[57] John Schwarz, interview with author, August 13, 2008.

[58] Andrew Strominger (Harvard University), interview with author, February 7, 2007.

[59] Andrew Strominger, interview with author, November 1, 2007.

[60] Raman Sundrum (Johns Hopkins University), interview with author, January 25,2007.

[61] Andrew Strominger, interview with author, February 7, 2007.

[62] Dennis Overbye, “One Cosmic Question, Too Many Answers,” New York Times, September 2, 2003.

[63] Juan Maldacena (Princeton University), interview with author, September 9, 2007.

[64] Dan Freed (University of Texas), interview with author, June 24, 2008.

[65] Tristan Hubsch (Howard University), interview with author, August 30, 2008.

[66] Gary Horowitz (University of California, Santa Barbara), interview with author, February 15, 2007.

[67] Eugenio Calabi (University of Pennsylvania), interview with author, October 18, 2007.

[68] Woody Allen, “Strung Out,” New Yorker, July 28, 2003.

[69] Liam McAllister (Cornell University), e-mail letter to author, April 24, 2009.

[70] Allan Adams (MIT), interview with author, August 10, 2007.

[71] Joe Polchinski (University of California, Santa Barbara), interview with author, January 29, 2007.

[72] Brian Greene, The Fabric of the Cosmos(New York: Alfred A. Knopf, 2004), p. 372.

[73] P. Candelas, G. Horowitz, A. Strominger, and E. Witten, “Vacuum Configurations for Superstrings,” Nuclear Physics В258 (1985): 46–74.

[74] Edward Witten (IAS), e-mail letter to author, July 24, 2008.

[75] Volker Braun, Philip Candelas, and Rhys Davies, “A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers,” October 28, 2009, http://arxiv.org/PS_cache/arxiv/pdf/0910/0910.5464vl.pdf.

[76] Dennis Overbye, “One Cosmic Question, Too Many Answers,” New York Times, September 2, 2003.

[77] Dale Glabach and Juan Maldacena, “Who’s Counting?” Astronomy, May 2006, p. 72.

[78] Andrew Strominger, “String Theory, Black Holes, and the Fundamental Laws of Nature,” lecture, Harvard University, Cambridge, Mass., April 4, 2007.

[79] Edward Witten (IAS), e-mail letter to author, July 21, 2008.

[80] Petr Horava (University of California, Berkeley), interview with author, July 6, 2007.

[81] Ibid.

[82]

Аллюзия на цитату из поэмы Томаса Стернза Элиота «Полые люди»: «Не взрыв, но всхлип». – Примеч. перев.

[83] Ronen Plesser (Duke University), interview with author, September 3, 2008.

[84] Ibid.

[85] Marcus Grisaru (McGill University), interview with author, August 18, 2008.

[86] Plesser, interview with author, September 3, 2008.

[87] Shamit Kachru (Stanford University), interview with author, August 19, 2008.

[88] Ashoke Sen (Harish-Chandra Research Institute), interview with author, August 22, 2008.

[89] Jacques Distler and Brian Greene, “Some Exact Results on the Superpotential from Calabi-Yau Compactifications,” Nuclear Physics В309 (1988): 295–316.

[90] Doron Gepner, “Yukawa Couplings for Calabi-Yau String Compactification,” Nuclear PhysicsВ 311 (1988): 191–204.

[91] Kachru, interview with author, August 19, 2008.

[92] Paul Aspinwall (Duke University), interview with author, August 14, 2008.

[93] Wolfgang Lerche, Cumrun Vafa, and Nicholas Warner, “Chiral Rings in N=2 Superconformal Theories,” Nuclear Physics В324 (1989): 427–474.

[94] В. R. Greene, C. Vafa, N. P. Warner, “Calabi-Yau Manifolds and Renormalization Group Flows,” Nuclear Physics В324 (1989): 371–390.

[95] Brian Greene (Columbia University), interview with author, March 11,2010.